15100968960 has 1152 divisors, whose sum is σ = 69928466400. Its totient is φ = 2972712960.

The previous prime is 15100968959. The next prime is 15100968977. The reversal of 15100968960 is 6986900151.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 794787831 + ... + 794787849.

Almost surely, 2^15100968960 is an apocalyptic number.

15100968960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15100968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34964233200).

15100968960 is an abundant number, since it is smaller than the sum of its proper divisors (54827497440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15100968960 is a wasteful number, since it uses less digits than its factorization.

15100968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 15100968960 in words is "fifteen billion, one hundred million, nine hundred sixty-eight thousand, nine hundred sixty".